Towards testing the Fröhlich-Morchio-Strocchi mechanism in quantum gravity

Abstract

Physics in (canonical) quantum gravity needs to be manifestly diffeomorphism-invariant. Consequently, physical observables need to be formulated in terms of manifestly diffeomorphism-invariant operators, which are necessarily composite. This makes an evaluation in general involved, even if the concrete implementation of quantum gravity should be treatable (semi-)perturbatively in general. A mechanism developed by Fröhlich, Morchio and Strocchi for flat-space-time quantum field theory may also be applicable in this case. It may be possible to test this mechanism with methods like dynamical triangulation.

arXiv comment6 pages, submitted to the proceedings of ICHEP22; v2: Corrected typos (including one in a formula)